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Finding the Fourth Proportional to 355,465.98, 490,541.94 and 194,321.16

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Solution

The fourth proportional to 355,465.98, 490,541.94 and 194,321.16 is: 268,162.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,465.98 : 490,541.94 = 194,321.16 : x
  2. Step 2: Convert to fraction form
    355,465.98/490,541.94 = 194,321.16/x
  3. Step 3: Cross multiply
    355,465.98x = 490,541.94 × 194,321.16
  4. Step 4: Simplify right side
    355,465.98x = 95,322,678,809.45
  5. Step 5: Solve for x
    x = 95,322,678,809.45/355,465.98
  6. Step 6: Final answer
    x = 268,162.59

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.